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Various Lipschitz-like Properties for Functions and Sets I: Directional Derivative and Tangential Characterizations

https://doi.org/10.1137/080738271
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jmaa.1995.1003openalex-snapshot
Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces
inferredcites →https://doi.org/10.1007/3-540-31246-3openalex-snapshot
Variational Analysis and Generalized Differentiation II
inferredcites →https://doi.org/10.1007/3-540-31247-1openalex-snapshot
Variational Analysis and Generalized Differentiation I
inferredcites →https://doi.org/10.1007/978-1-4612-1394-9openalex-snapshot
Perturbation Analysis of Optimization Problems
inferredcites →https://doi.org/10.1007/bf01581072openalex-snapshot
Partially finite convex programming, Part I: Quasi relative interiors and duality theory
inferredcites →https://doi.org/10.1007/bfb0121219openalex-snapshot
Directional differentiability of the optimal value function in a nonlinear programming problem
inferredcites →https://doi.org/10.1007/s10107-007-0131-7openalex-snapshot
Links between directional derivatives through multidirectional mean value inequalities
inferredcites →https://doi.org/10.1016/0362-546x(79)90044-0openalex-snapshot
Clarke's tangent cones and the boundaries of closed sets in Rn
inferredcites →https://doi.org/10.1016/0362-546x(81)90079-1openalex-snapshot
A characterization of tangential regularity
inferredcites →https://doi.org/10.1016/0362-546x(83)90033-0openalex-snapshot
Characterization of Clarke's tangent and normal cones in finite and infinite dimensions
inferredcites →https://doi.org/10.1016/0362-546x(85)90049-5openalex-snapshot
Directional derivative of a minimax function
inferredcites →https://doi.org/10.1016/0362-546x(85)90095-1openalex-snapshot
Tangential approximations
inferredcites →https://doi.org/10.1016/0362-546x(88)90088-0openalex-snapshot
Approximate mean value theorem for upper subderivatives
inferredcites →https://doi.org/10.1016/0362-546x(94)e0061-kopenalex-snapshot
Metric regularity for strongly compactly Lipschitzian mappings
inferredcites →https://doi.org/10.1016/j.na.2005.10.003openalex-snapshot
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
inferredcites →https://doi.org/10.1016/s0362-546x(97)00488-4openalex-snapshot
Clarke-Ledyaev mean value inequalities in smooth Banach spaces
inferredcites →https://doi.org/10.1070/rm2000v055n03abeh000292openalex-snapshot
Metric regularity and subdifferential calculus
inferredcites →https://doi.org/10.1080/02331939508844134openalex-snapshot
A Note on The Zagrodny Mean Value Theorem
inferredcites →https://doi.org/10.1090/s0002-9939-05-07883-4openalex-snapshot
Integrability of subdifferentials of directionally Lipschitz functions
inferredcites →https://doi.org/10.1090/s0002-9939-1952-0045938-2openalex-snapshot
An Embedding Theorem for Spaces of Convex Sets
inferredcites →https://doi.org/10.1090/s0002-9947-1994-1227093-8openalex-snapshot
Mean Value Inequalities in Hilbert Space
inferredcites →https://doi.org/10.1112/plms/s3-39.2.331openalex-snapshot
Directionally Lipschitzian Functions and Subdifferential Calculus
inferredcites →https://doi.org/10.1112/s0025579300013541openalex-snapshot
Approximate subdifferentials and applications 3: the metric theory
inferredcites →https://doi.org/10.1137/s0363012994278171openalex-snapshot
Stablity of Set-Valued Mappings In Infinite Dimensions: Point Criteria and Applications
inferredcites →https://doi.org/10.1137/s105262349732339xopenalex-snapshot
Nonsmooth Constrained Optimization and Multidirectional Mean Value Inequalities
inferredcites →https://doi.org/10.1142/9789814415514_0020openalex-snapshot
THE SUPPORT FUNCTIONALS OF A CONVEX SET
inferredcites →https://doi.org/10.1287/moor.6.3.424openalex-snapshot
Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
inferredcites →https://doi.org/10.4153/cjm-1980-020-7openalex-snapshot
Generalized Directional Derivatives and Subgradients of Nonconvex Functions
inferredcites →https://doi.org/10.4153/cjm-1985-058-1openalex-snapshot
Generalized Gradients, Lipschitz behavior and Directional Derivatives
inferredcites →https://doi.org/10.4153/cjm-1986-022-4openalex-snapshot
Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
inferredcites →https://doi.org/10.4153/cjm-1987-019-4openalex-snapshot
Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
inferredcites →https://doi.org/10.4153/cjm-1996-042-1openalex-snapshot
Extensions Of Subdifferential Calculus Rules in Banach Spaces
inferredcites →https://doi.org/10.4153/cmb-1988-051-9openalex-snapshot
The Proximal Subgradient Formula in Banach Space
inferredcites →https://doi.org/10.4213/rm292openalex-snapshot
Метрическая регулярность и субдифференциальное исчисление
inferredcites →https://doi.org/10.68381/jca07019openalex-snapshot
Compactly Epi-Lipschitzian Convex Sets and Functions in Normed Spaces

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_1openalex-snapshot
Metric and Topological Tools
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_2openalex-snapshot
Elements of Differential Calculus
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_3openalex-snapshot
Elements of Convex Analysis
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_4openalex-snapshot
Elementary and Viscosity Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_5openalex-snapshot
Circa-Subdifferentials, Clarke Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_7openalex-snapshot
Graded Subdifferentials, Ioffe Subdifferentials
inferred← citeshttps://doi.org/10.1007/s00233-021-10160-7openalex-snapshot
An extension of the Rådström cancellation theorem to cornets
inferred← citeshttps://doi.org/10.1007/s11228-013-0247-2openalex-snapshot
Directional Lipschitzness of Minimal Time Functions in Hausdorff Topological Vector Spaces
inferred← citeshttps://doi.org/10.1137/120875934openalex-snapshot
Existence of Minimizers on Drops
inferred← citeshttps://doi.org/10.1155/2016/5671729openalex-snapshot
Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions
inferred← citeshttps://doi.org/10.68381/jca27014openalex-snapshot
Various Lipschitz-Like Properties for Functions and Sets. II: Subdifferential and Normal Characterizations
inferred← citeshttps://doi.org/10.68381/jca32027openalex-snapshot
Some Remarks on Convexity
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